Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)Universidad de Sevilla. Departamento de Geometría y Topología

Date:

2018-02-15

Published in:

Applied Mathematics and Computation, 319, 510-517.

Document type:

Article

Abstract:

The mitosis process of an eukaryotic cell can be represented by the structure constants of an evolution algebra. Any isotopism of the latter corresponds to a mutation of genotypes of the former. This paper uses Computational Algebraic Geometry to determine the distribution of three-dimensional evolution algebras over any field into isotopism classes and hence, to describe the spectrum of genetic patterns of three distinct genotypes during a mitosis process. Their distribution into isomorphism classes is also determined in case of dealing with algebras having a onedimensional annihilator.